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OTC 7L 12s
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Omnitetrachordal MOS scale
7L+12s
19 tones (8+3+8)
Flattone
MOS;
P
<0 (oddly, neither this scale nor its
dual
can be tuned with a perfect 3/2!)
P = -0.2063597584
Q
= 5.0713810872 (4/3 = 3L+4.5s)
L = 63.16 to 171.43 cents (128.12 cents @ Q)
s = 0.00 to 63.16 cents (25.26 cents @ Q)
9/8 = L+2s (171.43 to 189.47 cents)
4/3 = 3L+5s (505.26 to 514.29 cents)
generator = 4/3
notable EDOs: 26, 33, 40, 45
symmetric mode:
sLssLsLssLssLsLssLs
all modes:
sLs sLsLssLs sLsLssLs
sLssLsLs sLssLsLs sLs
Lss LsLssLss LsLssLss
LssLsLss LssLsLss Lss
ssL sLssLssL sLssLssL
ssLsLssL ssLsLssL ssL
sLs LssLssLs LssLssLs
sLsLssLs sLsLssLs sLs
LsLssLss LsLssLss Lss
sLssLssL sLs sLssLssL
sLssLssL sLssLssL ssL
LssLssLs Lss LssLssLs
LssLssLs LssLssLs sLs
ssLssLsL ssL ssLssLsL
sLssLsLs sLs sLssLsLs
LssLsLss Lss LssLsLss
ssLsLssL ssL ssLsLssL
sLsLssLs sLs sLsLssLs
LsLssLss Lss LsLssLss
sLs sLssLssL sLssLssL
sLssLssL ssL sLssLssL
Lss LssLssLs LssLssLs
LssLssLs sLs LssLssLs
ssL ssLssLsL ssLssLsL
sLs sLssLsLs sLssLsLs
sLssLssL sLssLssL sLs
Lss LssLsLss LssLsLss
LssLssLs LssLssLs Lss
ssL ssLsLssL ssLsLssL
ssLssLsL ssLssLsL ssL
See also
Omnitetrachordality
Gallery of omnitetrachordal scales
References
Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages
3685
and
10987
.
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7L+12s
19 tones (8+3+8)
Flattone MOS; P<0 (oddly, neither this scale nor its dual can be tuned with a perfect 3/2!)
P = -0.2063597584
Q = 5.0713810872 (4/3 = 3L+4.5s)
L = 63.16 to 171.43 cents (128.12 cents @ Q)
s = 0.00 to 63.16 cents (25.26 cents @ Q)
9/8 = L+2s (171.43 to 189.47 cents)
4/3 = 3L+5s (505.26 to 514.29 cents)
generator = 4/3
notable EDOs: 26, 33, 40, 45
symmetric mode: sLssLsLssLssLsLssLs
all modes:
See also
References